Elliptic curve search results

Results (10 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
16830.j2	16830g1	16830.j	16830g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.398204$	$-19034163/41140$	$0.81484$	$2.89841$	$[1, -1, 0, -150, -1504]$	\(y^2+xy=x^3-x^2-150x-1504\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
16830.cp2	16830br1	16830.cp	16830br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$3072$	$-0.151102$	$-19034163/41140$	$0.81484$	$2.22102$	$[1, -1, 1, -17, 61]$	\(y^2+xy+y=x^3-x^2-17x+61\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
84150.br2	84150s1	84150.br	84150s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$0.451262748$	$1$		$11$	$73728$	$0.653617$	$-19034163/41140$	$0.81484$	$2.75734$	$[1, -1, 0, -417, 7241]$	\(y^2+xy=x^3-x^2-417x+7241\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(4, 73)]$
84150.fg2	84150dt1	84150.fg	84150dt	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.202923$	$-19034163/41140$	$0.81484$	$3.33859$	$[1, -1, 1, -3755, -191753]$	\(y^2+xy+y=x^3-x^2-3755x-191753\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
134640.bq2	134640dw1	134640.bq	134640dw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.091351$	$-19034163/41140$	$0.81484$	$3.09237$	$[0, 0, 0, -2403, 98658]$	\(y^2=x^3-2403x+98658\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
134640.ef2	134640dd1	134640.ef	134640dd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$3.997985579$	$1$		$3$	$73728$	$0.542045$	$-19034163/41140$	$0.81484$	$2.53424$	$[0, 0, 0, -267, -3654]$	\(y^2=x^3-267x-3654\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(615, 15246)]$
185130.cc2	185130ey1	185130.cc	185130ey	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 11^{8} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.047846$	$-19034163/41140$	$0.81484$	$2.96813$	$[1, -1, 0, -2019, -75487]$	\(y^2+xy=x^3-x^2-2019x-75487\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$
185130.do2	185130ch1	185130.do	185130ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{8} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$5.953854633$	$1$		$1$	$1105920$	$1.597151$	$-19034163/41140$	$0.81484$	$3.51160$	$[1, -1, 1, -18173, 2056321]$	\(y^2+xy+y=x^3-x^2-18173x+2056321\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(9377/8, 775477/8)]$
286110.ct2	286110ct1	286110.ct	286110ct	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$5.931695208$	$1$		$3$	$2654208$	$1.814810$	$-19034163/41140$	$0.81484$	$3.59782$	$[1, -1, 0, -43404, -7562692]$	\(y^2+xy=x^3-x^2-43404x-7562692\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[(18254, 2456910)]$
286110.eo2	286110eo1	286110.eo	286110eo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$22440$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.265505$	$-19034163/41140$	$0.81484$	$3.07318$	$[1, -1, 1, -4823, 281707]$	\(y^2+xy+y=x^3-x^2-4823x+281707\)	2.3.0.a.1, 264.6.0.?, 510.6.0.?, 7480.6.0.?, 22440.12.0.?	$[]$